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Sudoku Solution Path

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R2C1 is the only square in row 2 that can be <6>
R7C1 can only be <8>
R7C5 can only be <4>
R7C7 can only be <2>
R7C9 can only be <7>
R7C3 can only be <6>
R2C5 is the only square in row 2 that can be <7>
R2C9 is the only square in row 2 that can be <2>
R4C6 is the only square in row 4 that can be <1>
R4C4 is the only square in row 4 that can be <7>
R4C9 is the only square in row 4 that can be <4>
R5C4 is the only square in row 5 that can be <6>
R6C4 is the only square in row 6 that can be <4>
R9C6 is the only square in row 9 that can be <5>
R6C1 is the only square in column 1 that can be <9>
R6C6 can only be <8>
R1C4 is the only square in row 1 that can be <8>
R9C4 can only be <9>
R8C5 can only be <8>
R9C8 is the only square in row 9 that can be <8>
Squares R4C5 and R6C5 in column 5 form a simple locked pair. These 2 squares both contain the 2 possibilities <35>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R5C5 - removing <35> from <2359> leaving <29>
Squares R2C8 and R5C8 in column 8 form a simple locked pair. These 2 squares both contain the 2 possibilities <13>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.
   R1C8 - removing <3> from <349> leaving <49>
   R8C8 - removing <3> from <349> leaving <49>
Squares R1C2 and R1C7 in row 1 and R5C2 and R5C7 in row 5 form a Simple X-Wing pattern on possibility <5>. All other instances of this possibility in columns 2 and 7 can be removed.
   R3C7 - removing <5> from <145> leaving <14>
Squares R4C1 and R8C1 in column 1, R4C5 and R6C5 in column 5 and R6C9 and R8C9 in column 9 form a Swordfish pattern on possibility <3>. All other instances of this possibility in rows 4, 6 and 8 can be removed.
   R8C2 - removing <3> from <134> leaving <14>
Squares R3C1 (XY), R2C2 (XZ) and R4C1 (YZ) form an XY-Wing pattern on <3>. All squares that are buddies of both the XZ and YZ squares cannot be <3>.
   R5C2 - removing <3> from <357> leaving <57>
Squares R3C7 (XY), R2C8 (XZ) and R9C7 (YZ) form an XY-Wing pattern on <3>. All squares that are buddies of both the XZ and YZ squares cannot be <3>.
   R1C7 - removing <3> from <345> leaving <45>
R2C8 is the only square in block 3 that can be <3>
R2C2 can only be <1>
R5C8 can only be <1>
R8C2 can only be <4>
R3C1 can only be <5>
R3C9 can only be <9>
R4C1 can only be <3>
R3C5 can only be <2>
R8C9 can only be <3>
R1C8 can only be <4>
R4C5 can only be <5>
R8C1 can only be <1>
R5C3 can only be <7>
R6C5 can only be <3>
R5C2 can only be <5>
R6C9 can only be <5>
R5C7 can only be <3>
R8C8 can only be <9>
R1C2 can only be <3>
R9C3 can only be <3>
R9C7 can only be <4>
R9C2 can only be <7>
R1C7 can only be <5>
R3C7 can only be <1>
R1C3 can only be <2>
R3C3 can only be <4>
R5C5 can only be <9>
R1C6 can only be <9>
R5C6 can only be <2>

 

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